Interval arithmetic: Difference between revisions

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Diatonic interval arithmetic is a set of rules governing diatonic notation systems, which says that the degrees of stacked intervals should always follow arithmetic if 1 is subtracted from all degree numbers. For example, a stack of two thirds is always a fifth, since (3-1)+(3-1)=(5-1), and more specifically:  
Diatonic interval arithmetic is a set of rules governing diatonic notation systems, which says that the degrees of stacked intervals should always follow arithmetic if 1 is subtracted from all degree numbers. For example, a stack of two thirds is always a fifth, since (3-1)+(3-1)=(5-1), and more specifically:  
{{todo|inline=1|comment=Add general rules for interval name and quality}}
{{todo|inline=1|comment=Add general rules for interval name and quality}}
[[File:Diatonic generator step markers.png|thumb|Figure 1: diatonic generator step markers]]


[[Category:Scale]]
[[Category:Scale]]
[[Category:Interval]]
[[Category:Interval]]

Revision as of 16:30, 15 July 2024

Interval arithmetic systems refer to sets of rules regarding the names and qualities of stacked intervals.

Diatonic interval arithmetic

Diatonic interval arithmetic is a set of rules governing diatonic notation systems, which says that the degrees of stacked intervals should always follow arithmetic if 1 is subtracted from all degree numbers. For example, a stack of two thirds is always a fifth, since (3-1)+(3-1)=(5-1), and more specifically:

Todo:

Add general rules for interval name and quality

Figure 1: diatonic generator step markers